... 6. In this paper, we consider the weighted q-Bernstein polynomials to express the bosonicq-integral on pand investigate some properties of the weighted q-Bernstein polynomialsassociated with ... Journal of Inequalities and ApplicationsLet UDp be the space of uniformly differentiable functions on p.Forf ∈ UDp, the p-adic q-integral on p, which is called the bosonic q-integral on p,isdefinedbyIqfpfxdμqx ... rational numbers, and the completion of the algebraicclosure of p, respectively. Let be the set of natural numbers, and let ∪{0}.Letνpbe the normalized exponential valuation of pwith...